131000041231434 has 64 divisors (see below), whose sum is σ = 292809499361280. Its totient is φ = 43411962772800.

The previous prime is 131000041231417. The next prime is 131000041231469. The reversal of 131000041231434 is 434132140000131.

131000041231434 is a `hidden beast` number, since 1 + 3 + 100 + 0 + 0 + 4 + 123 + 1 + 434 = 666.

It is a super-2 number, since 2×131000041231434² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131000041231398 and 131000041231407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179946679 + ... + 180673205.

It is an arithmetic number, because the mean of its divisors is an integer number (4575148427520).

Almost surely, 2^{131000041231434} is an apocalyptic number.

131000041231434 is an abundant number, since it is smaller than the sum of its proper divisors (161809458129846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131000041231434 is a wasteful number, since it uses less digits than its factorization.

131000041231434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746012 (or 746006 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131000041231434 its reverse (434132140000131), we get a palindrome (565132181231565).

The spelling of 131000041231434 in words is "one hundred thirty-one trillion, forty-one million, two hundred thirty-one thousand, four hundred thirty-four".